"Among the many significant ideas and developments that connect Mathematics with contemporary Physics one of the most intriguing is the role that Quantum Field Theory (QFT) plays in Geometry and Topology. We can argue back and forth on the relevance of such a role, but the perspective QFT offers is often surprising and far reaching. Examples abound, and a fine selection is provided by the revealing insights offered by Yang–Mills theory into the topology of 4-manifolds, by the relation between Knot Theory and topological QFT, and most recently by the interaction between Strings, Riemann moduli space, and enumerative geometry. Doubtless many of the most striking connections suggested by physicists failed to pass the censorship of the Department of Mathematics, and so do not appear in the above official list."
Quote Details
Added by wikiquote-import-bot
Unverified quote
0 likes
Original Language: English
Available Languages (1)
Sources
Imported from EN Wikiquote
https://en.wikiquote.org/wiki/Quantum_field_theory
Revision History
No revisions have been submitted for this quote.
Categories
Quantum field theory
4 quotes on TrueQuotesView all quotes by Quantum field theory →
Related Quotes
"The disillusionment with QFT as a basis for the theory of elementary particles was also premature. What was missing w…"
"In parallel with the changes it brought in our attitude toward symmetries, the birth of the Standard Model marked cha…"
"Starting in the late 1960s and then accelerating in the 1970s, our optimism about quantum field theory once again ret…"
"That the pion-nucleon (πN) coupling constant is fundamental in our understanding of the Cosmos has been adequately em…"
"... Roughly speaking, in renormalizable theories no coupling constants can have the dimensions of negative powers of …"
"The octonions are much stranger. Not only are they noncommutative, they are also break another familiar law of arithm…"
"Despite its counter-culture status, the octonions have long drawn the curiosity of generations of physicists. The alg…"
"The real numbers are the dependable breadwinner of the family, the complete ordered field we all rely on. The complex…"
"Besides their possible role in physics, the octonions are important because they tie together some algebraic structur…"
"It is possible to form an analogous theory with seven imaginary roots of (-1)."